Can you counter a triggered ability on a creature by destroying the creature in Magic

[Pliko]

Can you counter a triggered ability on a creature by destroying the creature in Magic the Gathering

[Kenji]

Nope, destroying the source of the ability once that ability is on the stack won't do anything to stop it. From the Comprehensive Rules:

112.7a Once activated or triggered, an ability exists on the stack independently of its source.
Destruction or removal of the source after that time won’t affect the ability. Note that some
abilities cause a source to do something (for example, “Prodigal Sorcerer deals 1 damage to
target creature or player”) rather than the ability doing anything directly. In these cases, any
activated or triggered ability that references information about the source because the effect
needs to be divided checks that information when the ability is put onto the stack. Otherwise, it
will check that information when it resolves. In both instances, if the source is no longer in the
zone it’s expected to be in at that time, its last known information is used. The source can still
perform the action even though it no longer exists.

If you want to counter the ability, you'll need something like Stifle, Trickbind, or Voidslime. Simply destroying the creature/permanent that the ability came from won't be enough.